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Eyepiece Collection Calculator

Plan a 3-eyepiece set for your telescope with low, medium, and high power focal lengths.

About this calculator

Every eyepiece's magnification is simply your telescope's focal length divided by the eyepiece's own focal length, so a shorter eyepiece always yields higher magnification and a longer one yields lower — this calculator inverts that relationship to tell you which eyepiece focal lengths to buy for three useful magnification tiers. Low power uses your minimum usable magnification (a good rule of thumb is aperture in millimeters divided by 7, which gives the widest field and brightest image for hunting down deep-sky objects), high power uses your maximum usable magnification (roughly aperture times 2, the ceiling most nights of atmospheric seeing will actually support), and medium power sits at the geometric — not arithmetic — mean of the two, which spaces the three eyepieces roughly evenly across the full useful magnification range rather than clustering them toward one end. True field of view for the low-power eyepiece estimates how much sky that eyepiece actually shows, assuming a typical eyepiece's apparent field of roughly 60 degrees; a genuine wide-field eyepiece with a larger apparent field will show noticeably more real sky at the same magnification than this estimate suggests.

This calculator only recommends focal lengths — it doesn't account for eyepiece barrel size (1.25-inch vs 2-inch), eye relief for eyeglass wearers, or a specific eyepiece design's actual apparent field of view, all of which matter when choosing real products to buy. While Scope f/ratio is a useful number for judging image brightness and field curvature, none of the math above touches it — Scope Focal Length together with your chosen magnification range is all that determines these results, independent of aperture.

Inputs

Results

Low Power Eyepiece

40 mm

Medium Power Eyepiece

15.5 mm

High Power Eyepiece

6 mm

True FOV (low power)2°
How to Use This Calculator
  1. Enter Scope Focal Length (mm), Scope f/ratio, and Min Usable Magnification.
  2. Set Max Usable Magnification.
  3. Review Low Power Eyepiece (mm), Medium Power Eyepiece (mm), and High Power Eyepiece (mm).
  4. Use True FOV (low power) (°) to inform your decision.
  5. Use the chart to visualize the results and explore different scenarios by adjusting inputs.

How the result changes with Scope Focal Length (mm)

Scope Focal Length (mm)Low Power EyepieceMedium Power EyepieceHigh Power Eyepiece
60020 mm7.7 mm3 mm
90030 mm11.6 mm4.5 mm
1,80060 mm23.2 mm9 mm
3,000100 mm38.7 mm15 mm

What each input means

Scope Focal Length (mm)
Focal length of your telescope in millimeters
Scope f/ratio
f/ratio of your telescope (focal length / aperture)
Min Usable Magnification
Lowest useful magnification (rule of thumb: aperture in mm / 7)
Max Usable Magnification
Highest useful magnification (rule of thumb: aperture in mm × 2)

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Scope Focal Length (mm) = 1200, Scope f/ratio = 6, Min Usable Magnification = 30, Max Usable Magnification = 200 = 4 input(s) provided
  2. Calculate Low Power Eyepiece
    Low Power Eyepiece
    40 = 40
  3. Calculate Medium Power Eyepiece
    Medium Power Eyepiece
    15.5 = 15.5
  4. Calculate High Power Eyepiece
    High Power Eyepiece
    6 = 6

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why is the medium-power eyepiece not simply halfway between the low and high focal lengths?

Magnification and eyepiece focal length are inversely related, so averaging focal lengths directly would bunch the resulting magnifications toward the low-power end rather than spacing them evenly. Using the geometric mean of the minimum and maximum magnification instead produces a medium power that sits proportionally between the two extremes, giving a more evenly spaced three-eyepiece set.

How do I know what my minimum and maximum usable magnification actually are?

Both scale with your telescope's aperture rather than its focal length: minimum usable magnification is commonly estimated as aperture in millimeters divided by 7 (below this, the exit pupil grows too large and the image dims and can show the eye's own floaters), while maximum usable magnification is roughly aperture times 2 in ideal atmospheric conditions, though most nights of average seeing won't sustain the full theoretical maximum.

Why doesn't a wider apparent field of view eyepiece show up in this calculator's numbers?

The true field of view estimate assumes a typical eyepiece design with roughly a 60-degree apparent field, since that figure isn't one of the calculator's inputs. A genuine wide-field eyepiece with an 82-degree or 100-degree apparent field will show meaningfully more actual sky at the identical magnification than this estimate, so treat the true FOV figure as a baseline rather than a promise for every eyepiece design.

Does a shorter focal length eyepiece always give a better view?

No — magnification increases as eyepiece focal length shrinks, but pushing magnification above your telescope's maximum usable limit just produces a larger, dimmer, blurrier image without revealing any additional real detail, since atmospheric seeing and your optics' resolution set a hard ceiling. Matching the eyepiece to the object you're observing, rather than always reaching for the shortest one in the case, gets better results.

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